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Finding the Fourth Proportional to 758.96, 1,138.58 and 348.14

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Solution

The fourth proportional to 758.96, 1,138.58 and 348.14 is: 522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.96 : 1,138.58 = 348.14 : x
  2. Step 2: Convert to fraction form
    758.96/1,138.58 = 348.14/x
  3. Step 3: Cross multiply
    758.96x = 1,138.58 × 348.14
  4. Step 4: Simplify right side
    758.96x = 396,388.96
  5. Step 5: Solve for x
    x = 396,388.96/758.96
  6. Step 6: Final answer
    x = 522.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.